Göken, ÇağrıGezici, SinanArıkan, Orhan2016-02-082016-02-082010-09-10http://hdl.handle.net/11693/28500Date of Conference: 29 Sept.-1 Oct. 2010Conference name: 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2010In this paper, stochastic signaling is studied for scalar valued binary communications systems over additive noise channels in the presence of an average power constraint. For a given decision rule at the receiver, the effects of using stochastic signals for each symbol instead of conventional deterministic signals are investigated. First, sufficient conditions are derived to determine the cases in which stochastic signaling can or cannot outperform the conventional signaling. Then, statistical characterization of the optimal signals is provided and it is obtained that an optimal stochastic signal can be represented by a randomization of at most two different signal levels for each symbol. In addition, via global optimization techniques, the solution of the generic optimal stochastic signaling problem is obtained, and theoretical results are investigated via numerical examples. ©2010 IEEE.EnglishAdditive noise channelsGlobal optimizationProbability of errorStochastic signalingAverage powerCommunications systemsDecision rulesDeterministic signalsGlobal optimization techniquesNumerical exampleOptimal signalsOptimalitySignal levelStatistical characterizationStochastic signalsSufficient conditionsTheoretical resultNumerical analysisOptimizationSignalingStochastic systemsConference Paper10.1109/ALLERTON.2010.5707042